GCD of 174, 150, 97, 700 Calculator

Given Input numbers are 174, 150, 97, 700

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 174, 150, 97, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 150, 97, 700 is 1.

Therefore, GCD of numbers 174, 150, 97, 700 is 1

Given Input Data is 174, 150, 97, 700

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 97 is 97

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(174, 150) = 4350

GCD(174, 150) = ( 174 x 150 ) / 4350

GCD(174, 150) = 26100 / 4350

GCD(174, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 97

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 97) = 582

GCD(6, 97) = ( 6 x 97 ) / 582

GCD(6, 97) = 582 / 582

GCD(6, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 174, 150, 97, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 402, 61, 889
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• GCD of 147, 331, 95, 252

1. What is the GCD of 174, 150, 97, 700?

GCD of 174, 150, 97, 700 is 1

2. Where do I get the detailed procedure to find GCD of 174, 150, 97, 700?

You can find a detailed procedure to find GCD of 174, 150, 97, 700 on our page.

3. How to find GCD of 174, 150, 97, 700 on a calculator?

You can find the GCD of 174, 150, 97, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.